2949168384 has 216 divisors, whose sum is σ = 8866970112. Its totient is φ = 941690880.

The previous prime is 2949168371. The next prime is 2949168407. The reversal of 2949168384 is 4838619492.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2949168384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11213437 + ... + 11213699.

Almost surely, 2^2949168384 is an apocalyptic number.

2949168384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2949168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433485056).

2949168384 is an abundant number, since it is smaller than the sum of its proper divisors (5917801728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2949168384 is a wasteful number, since it uses less digits than its factorization.

2949168384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 456 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2949168384 is about 54306.2462705719. The cubic root of 2949168384 is about 1434.0573613137.

The spelling of 2949168384 in words is "two billion, nine hundred forty-nine million, one hundred sixty-eight thousand, three hundred eighty-four".